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Assessment on strength reduction schemes for geotechnical stability analysis involving the Drucker-Prager criterion 被引量:5
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作者 WANG Dong-yong CHEN Xi +1 位作者 QI Ji-lin PENG Li-yun 《Journal of Central South University》 SCIE EI CAS CSCD 2021年第10期3238-3245,共8页
For geotechnical stability analysis involving the Drucker-Prager(DP)criterion,both the c-ϕreduction scheme and the M-K reduction scheme can be utilized.With the aid of the second-order cone programming optimized finit... For geotechnical stability analysis involving the Drucker-Prager(DP)criterion,both the c-ϕreduction scheme and the M-K reduction scheme can be utilized.With the aid of the second-order cone programming optimized finite element method(FEM-SOCP),a comparison of the two strength reduction schemes for the stability analysis of a homogeneous slope and a multilayered slope is carried out.Numerical investigations disclose that the FoS results calculated by the c-ϕreduction scheme agree well with those calculated by the classical Morgenstern-Price solutions.However,the FoS results attained by the M-K reduction scheme may lead to conservative estimation of the geotechnical safety,particularly for the cases with large internal friction angles.In view of the possible big difference in stability analysis results caused by the M-K reduction scheme,the c-ϕreduction scheme is recommended for the geotechnical stability analyses involving the DP criterion. 展开更多
关键词 geotechnical stability drucker-prager criterion strength reduction second-order cone programming c-ϕreduction M-K reduction
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TATB基PBX双曲Drucker-Prager强度准则适用性分析 被引量:2
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作者 袁洪魏 赵龙 +2 位作者 董天宝 颜熹琳 唐维 《含能材料》 EI CAS CSCD 北大核心 2019年第1期74-78,93,共6页
为准确建立三氨基三硝基苯(TATB)基高聚物粘接炸药(PBX)材料的强度准则,通过自主研制的主动围压试验机获取了不同温度(22.5,35,50℃),不同围压(0~10 MPa)下材料的强度;根据单轴拉伸、单轴压缩以及围压压缩实验数据,采用传统Drucker-Pra... 为准确建立三氨基三硝基苯(TATB)基高聚物粘接炸药(PBX)材料的强度准则,通过自主研制的主动围压试验机获取了不同温度(22.5,35,50℃),不同围压(0~10 MPa)下材料的强度;根据单轴拉伸、单轴压缩以及围压压缩实验数据,采用传统Drucker-Prager(D-P)以及双曲D-P强度准则分别建立了不同温度下TATB基PBX材料的强度模型,并分析了其对于强度实验数据的预测精度。结果表明,双曲D-P强度准则对于22.5,35,50℃下强度实验数据的预测相对误差最大分别为2.41%,3.46%,5.22%,均方根误差分别为0.42,0.38,0.44 MPa,优于传统D-P强度准则结果;对于间接三轴拉伸和压缩破坏应力状态的预测,其相对误差分别为4.93%和12.14%,总体上均优于传统D-P、Mohr-Column、双剪以及单轴强度准则。考虑中主应力影响且处处正则的双曲D-P强度准则能准确预测不同温度下TATB基PBX材料的强度特性。 展开更多
关键词 主动围压 双曲Drucker‐Prager(D‐P)强度准则 高聚物粘接炸药(PBX)
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基于D-P准则巷道围岩应变软化与破裂膨胀弹塑性分析 被引量:5
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作者 罗勇 《中国安全生产科学技术》 CAS CSCD 北大核心 2018年第11期108-113,共6页
为了得到考虑围岩应变软化、破裂膨胀和中间主应力情况下的巷道围岩弹塑性解,基于非关联流动法则和DruckerPrager准则,引入中间主应力系数,建立软化和膨胀模型,得到了巷道变形、破裂区和塑性区半径的解析式,并进行了应用分析。研究结果... 为了得到考虑围岩应变软化、破裂膨胀和中间主应力情况下的巷道围岩弹塑性解,基于非关联流动法则和DruckerPrager准则,引入中间主应力系数,建立软化和膨胀模型,得到了巷道变形、破裂区和塑性区半径的解析式,并进行了应用分析。研究结果表明:随中间主应力增大,巷道变形、破裂区和塑性区半径先减后增;围岩软化越严重,对巷道变形、破裂区和塑性区半径影响越显著;软化阶段的膨胀行为对塑性区半径不产生影响,但影响巷道破裂区半径和变形;残余阶段的膨胀行为对破裂区和塑性区半径不产生影响,但影响巷道的变形;巷道变形、破裂区和塑性区半径随支护阻力增大而减小,且原岩应力越大,支护对变形影响越显著。 展开更多
关键词 d-p准则 圆形巷道 应变软化 破裂膨胀 弹塑性分析
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基于修正D-P准则的迫击炮座钣-土壤模型在强冲击载荷下的动态响应 被引量:1
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作者 王锋锋 杨国来 葛建立 《振动与冲击》 EI CSCD 北大核心 2022年第5期214-220,共7页
目前在ABAQUS软件中计算迫击炮座钣模型时选择的土壤计算模型是软件中自带的D-P(Drucker-Prager)模型,与实际情况存在一定差距。为提高某迫击炮座钣-土壤耦合模型的计算精度,建立座钣-土壤耦合有限元仿真模型,将一种修正的D-P准则应用... 目前在ABAQUS软件中计算迫击炮座钣模型时选择的土壤计算模型是软件中自带的D-P(Drucker-Prager)模型,与实际情况存在一定差距。为提高某迫击炮座钣-土壤耦合模型的计算精度,建立座钣-土壤耦合有限元仿真模型,将一种修正的D-P准则应用于迫击炮座钣-土壤耦合计算中的土壤屈服准则,该准则引入了一种角隅模型,考虑了拉剪屈服曲线的修正。并且,为验证应用效果,设计并开展强冲击载荷下迫击炮座钣-土壤动态特性试验,获得座钣及土壤中测点的动态响应值。数值计算和试验测试结果表明,修正D-P屈服准则可以较好地描述试验现象,从而可提高迫击炮座钣-土壤耦合模型的计算精度,为座钣的设计提供参考。 展开更多
关键词 迫击炮座钣 强冲击载荷 d-p(drucker-prager)准则 有限元 动态响应
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An analytical expression of reliability solution for Druker-Prager criterion
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作者 张浪 刘东升 +1 位作者 宋强辉 刘山文 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第1期121-128,共8页
Strength parameters of rock mass are taken as random variables. Based on the reliability theory, an analytical expression of reliability solution for Drucker-Prager criterion is given. The Monte-Carlo method and FORM ... Strength parameters of rock mass are taken as random variables. Based on the reliability theory, an analytical expression of reliability solution for Drucker-Prager criterion is given. The Monte-Carlo method and FORM (first order reliability method) are used to test the correctness of the solution. Some influences of variation of strength parameters on the judging results of Drucker-Prager criterion are discussed by the use of the solution. Conclusions of discussion show that variations of strength parameters have different influences on the reliability probability of Drucker-Prager criterion. When the coefficients of variation of strength parameters are great, their influences on the reliability probability of Drucker-Prager criterion are obvious and can not be neglected. The conclusions of this paper provide a new way for the reliability judgment of yield on rock m'ass. 展开更多
关键词 drucker-prager criterion strength parameters random variables RELIABILITY
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基于线性和双曲型Drucker-Prager准则的水泥环完整性研究
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作者 邱汇洋 刘仕康 《石油化工应用》 CAS 2024年第11期46-50,共5页
水泥环在油井使用中起着至关重要的作用,它可防止层间错流,并为套管提供支撑。考虑到井下条件的复杂环境,数值模拟在水泥环完整性评价中起着重要作用,准确描述水泥环的力学性能变得越来越重要。本文对水泥石的破坏准则进行了研究。为了... 水泥环在油井使用中起着至关重要的作用,它可防止层间错流,并为套管提供支撑。考虑到井下条件的复杂环境,数值模拟在水泥环完整性评价中起着重要作用,准确描述水泥环的力学性能变得越来越重要。本文对水泥石的破坏准则进行了研究。为了预测不同胶结石的强度特性,对胶结石进行了单轴拉伸和三轴压缩实验。根据实验结果,采用线性Drucker-Prager(D-P)准则和双曲型D-P准则对水泥石的破坏进行了预测。采用热-力耦合有限元模型对高温条件下水力压裂过程中水泥环的完整性进行了评价。实验结果表明,双曲型D-P准则在压缩剪切和拉伸破坏方面都比线性D-P准则具有更好的精度。 展开更多
关键词 水泥环完整性 热-力耦合有限元模型 线性drucker-prager(d-p)准则 双曲型d-p准则
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基于初始孔隙率的千枚岩损伤模型分析 被引量:1
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作者 王允偲 邓祥辉 +1 位作者 王睿 赵志清 《科学技术与工程》 北大核心 2021年第28期12203-12209,共7页
千枚岩由于成岩历史及赋存环境不同,内部的初始孔隙率不同,力学性质也相差很大。因此,在研究千枚岩的力学性质时,考虑初始孔隙率是非常有必要的。基于岩石的应变强度理论和Drucker-Prager(D-P)屈服准则,考虑了初始孔隙率对力学性质的影... 千枚岩由于成岩历史及赋存环境不同,内部的初始孔隙率不同,力学性质也相差很大。因此,在研究千枚岩的力学性质时,考虑初始孔隙率是非常有必要的。基于岩石的应变强度理论和Drucker-Prager(D-P)屈服准则,考虑了初始孔隙率对力学性质的影响,结合千枚岩的应力应变曲线,建立了基于初始孔隙率的千枚岩损伤模型。并通过对千枚岩岩样进行核磁共振试验和单轴压缩试验进行了验证。结果表明:建立的损伤模型能够较为准确的描述不同初始孔隙率条件下千枚岩的应力应变关系。本文模型对于千枚岩的损伤软化问题以及千枚岩力学性质的研究具有重要意义。 展开更多
关键词 千枚岩 初始孔隙率 损伤模型 WEIBULL分布 drucker-prager(d-p)屈服准则
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Confining stress effect on the elastoplastic ground reaction considering the Lode angle dependence 被引量:3
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作者 Eugie Kabwe 《International Journal of Mining Science and Technology》 SCIE EI CSCD 2020年第3期431-440,共10页
The convergence confinement methods are solutions employed to estimate convergence in circular tunnels. They are mostly based on constitutive equations governed by the Mohr-Coulomb and Hoek-Brown yield criteria. Howev... The convergence confinement methods are solutions employed to estimate convergence in circular tunnels. They are mostly based on constitutive equations governed by the Mohr-Coulomb and Hoek-Brown yield criteria. However, the solutions based on these criteria neglect the intermediate principal stress confining effect on the ground reaction estimation. Therefore, in this paper, a Drucker-Prager yield criterion governed solution integrated with the Lode angle parameter is employed. It considers the intermediate principal stress influence and the critical effect of the parameter on failure characterization.Subsequently, it is verified with results attained from numerical simulations which consider an elasticperfectly plastic constitutive law with a non-associative flow rule within FLAC3D. It was drawn from the results that the ground reaction and plastic evolution are influenced by the confining stress.Furthermore, considering a suitable yield criterion leads to realistic convergence and plastic evolution estimation. The circumscribed DP criterion governed solution with Lode angle parameter value(0.8) is considered appropriate for the realistic ground reaction estimation in the three-dimensional(3D) stress state rock mass. It estimates approximately 3.4% of tunnel convergence as compared to the classic solutions(5%) and plastic radius estimated to be approximately 2.45 m compared to 2.84 m. 展开更多
关键词 Convergence confinement methods drucker-prager Ground reaction Lode angle parameter Yield criterion
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DRUCKER-PRAGER YIELD CRITERIA IN VISCOELASTIC-PLASTIC CONSTITUTIVE MODEL FOR THE STUDY OF SEA ICE DYNAMICS 被引量:3
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作者 WANG Gang JI Shun-ying LV He-xiang YUE Qian-jin 《Journal of Hydrodynamics》 SCIE EI CSCD 2006年第6期714-722,共9页
Based on the characteristics of sea ice drifting and ridging at meso-small scale, the Drucker-Prager (D-P) yield criteria was introduced into the Viscoelastic-Plastic (VEP) constitutive model for the study of sea ... Based on the characteristics of sea ice drifting and ridging at meso-small scale, the Drucker-Prager (D-P) yield criteria was introduced into the Viscoelastic-Plastic (VEP) constitutive model for the study of sea ice dynamics. In this model, the Kelvin-Vogit viscoelastic model was adopted in the elastic stage, and the associated normal flow rule was used in the plastic stage. Using the VEP model, the sea ice ridging process was simulated in an idealized rectangular basin, and the simulation results show that the simulated ice ridge thickness is consistent with the analytical solution. Moreover, the VEP model with the D-P yield criteria was also applied for the sea ice simulation of Bohai Sea, and the ice thickness, concentration, velocity, and ice stress were obtained in 48 h. The simulated thickness distributions agree well with the satellite images. The singular problem in the Mohr^7oulomb (M-C) yield criteria was overcome by the D-P yield criteria, and the computational efficiency was also improved. In the numerical simulations described above, the smoothed particle hydrodynamics was applied. 展开更多
关键词 sea ice dynamics constitutive model viscoelastic-plastic drucker-prager d-p yield criteria Mohr^oulomb (M-C) yield criteria
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General axisymmetric active earth pressure obtained by the characteristics method based on circumferential geometric condition
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作者 XIONG GuoJun CHEN JinJian +1 位作者 LI MingGuang Li YaoLiang 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2020年第2期341-356,共16页
Existing solutions for axisymmetric active earth pressure are based on certain hypotheses of the circumferential stress, lacking of strict basis. This article presents a technique for deriving the actual circumferenti... Existing solutions for axisymmetric active earth pressure are based on certain hypotheses of the circumferential stress, lacking of strict basis. This article presents a technique for deriving the actual circumferential stress according to the circumferential geometric condition, the Drucker-Prager criterion and incremental theory. Based on the actual circumferential stress, a new characteristics method for determining the axisymmetric active earth pressure in plastic flow is developed in this article. In this new method, the inclined angle of boundaries, interface friction of contact interface, dilatation effect and flow velocity of soil are considered at the same time. The validity of the new method is confirmed using several sets of experimental data from the literature. The pressure coefficients are investigated individually in detail, and some different conclusions are found. Finally, a practical formula for calculating axisymmetric active earth pressure is presented based on the linear superposition principle, and related tables of coefficients are also provided for engineering application. 展开更多
关键词 AXISYMMETRIC active EARTH PRESSURE characteristics method practical calculation formula EARTH PRESSURE coefficients DILATATION effect the drucker-prager yield criterion
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